6.20   ODE No. 1553

\[ \boxed { {x}^{2}{\it d4y} \left ( x \right ) +4\,x{\frac {{\rm d}^{3}}{{\rm d}{x}^{3}}}y \left ( x \right ) +2\,{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) =0} \]

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

Mathematica: cpu = 0.021503 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to c_1 (-x)+c_4 x+c_1 x \log (x)-c_2 \log (x)+c_3\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 18 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,x+{\it \_C2}\,x\ln \left ( x \right ) +{\it \_C3}+{\it \_C4}\,\ln \left ( x \right ) \right \} \]